Statistics – Computation
Scientific paper
Mar 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977p%26ss...25..217r&link_type=abstract
Planetary and Space Science, vol. 25, Mar. 1977, p. 217-231.
Statistics
Computation
3
Ionospheric Heating, Ionospheric Temperature, Thermal Conductivity, Auroral Arcs, Earth Magnetosphere, Electric Fields, Geomagnetism, Heat Sources, Ionospheric Electron Density, Ionospheric Ion Density, Mathematical Models, Parabolic Differential Equations, Partial Differential Equations, Temperature Profiles, Time Dependence
Scientific paper
The computational method of Hastings and Roble (1977) for solving coupled vector systems of parabolic nonlinear partial differential equations is used to solve the coupled time-dependent electron and ion energy equations along a geomagnetic field line in time for a variety of suddenly applied ionospheric heat sources, including thermal conduction in the daytime ionosphere, heating by electric fields perpendicular to the geomagnetic field lines, and heating by energy flow from the magnetosphere into a stable auroral red arc (SAR-arc). Heat sources resulting in a change in the electron density are not considered. The ion energy equations are extended to resolve differential temperature profiles; the time-dependent temperature responses of electrons and individual ion species are computed for heating within a SAR-arc and for typical midlatitude daytime ionospheric conditions.
Hastings J. T.
Roble Raymond G.
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